4404973200 has 120 divisors (see below), whose sum is σ = 14126700000. Its totient is φ = 1173319680.

The previous prime is 4404973171. The next prime is 4404973201. The reversal of 4404973200 is 23794044.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4404973201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497331 + ... + 1500269.

It is an arithmetic number, because the mean of its divisors is an integer number (117722500).

Almost surely, 2^4404973200 is an apocalyptic number.

4404973200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063350000).

4404973200 is an abundant number, since it is smaller than the sum of its proper divisors (9721726800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4404973200 is a wasteful number, since it uses less digits than its factorization.

4404973200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 4404973200 is about 66369.9721259547. The cubic root of 4404973200 is about 1639.2596797394.

The spelling of 4404973200 in words is "four billion, four hundred four million, nine hundred seventy-three thousand, two hundred".